Enlargeability and index theory: infinite covers
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Publication:2465473
DOI10.1007/s10977-007-9004-3zbMath1128.58012arXivmath/0604540OpenAlexW1995361105MaRDI QIDQ2465473
Publication date: 4 January 2008
Published in: \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604540
strong Novikov conjecturerelative index theoremRosenberg indexEnlargeable manifoldsobstructions to positive scalar curvature
(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22)
Related Items (13)
GROUP QUASI-REPRESENTATIONS AND INDEX THEORY ⋮ The relative Mishchenko-Fomenko higher index and almost flat bundles. II: Almost flat index pairing ⋮ Homology of finite K-area ⋮ Almost flat relative vector bundles and the almost monodromy correspondence ⋮ On vanishing of low-degree higher \(\hat{A}\)-genera ⋮ A long neck principle for Riemannian spin manifolds with positive scalar curvature ⋮ Width, largeness and index theory ⋮ Index theory and partitioning by enlargeable hypersurfaces ⋮ Codimension two index obstructions to positive scalar curvature ⋮ A note on some classical results of Gromov-Lawson ⋮ Enlargeable metrics on nonspin manifolds ⋮ Band width estimates via the Dirac operator ⋮ Twisted K-theory and obstructions against positive scalar curvature metrics
Cites Work
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
- Spin and scalar curvature in the presence of a fundamental group. I
- A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
- Enlargeability and index theory
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- \(L^2\)-index theorems, KK-theory, and connections
- A NOTE ON THE RELATIVE INDEX THEOREM
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